Question

the hypotenuse of a right angled triangle with sides{a-b} and root2ab

Answer 1

Answer:√a^2+b^2

Step-by-step explanation:

H=√B^2+P^2

H=√(a-b)^2+√2ab^2

H=√a^2+b^2-2ab+2ab

H=√a^2+b^2

Answer 2

Answer:

$hypotenuse \: = \sqrt{ {(a - b)}^{2} + { (\sqrt{2ab} )}^{2} } = \sqrt{ {a}^{2} + {b}^{2} - 2ab + 2ab} = \sqrt{ {a}^{2} + {b}^{2} }$

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